If they scored 5 times, they got 1 touchdown and 4 field goals.
Equation:
7 + 3 + 3 + 3 + 3 = 19.
Answer: The answer is 96 wizards.
Step-by-step explanation:
So what I like to do is fraction formatting.
you start with x/blank 
and 
you do cross multiply divide
and multiple 120 by 80(=9600) and divide by 100 (=96) because wizards are 20% less of the population than goblins, so they are equivalent to 80% of the goblins! Hope this helped!
Answer:
(-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
You just need to guess and check.
(-4,6) → -4 + 6 = 2 ✔
(0,2) → 0+2 = 2 ✔
(4,2) → 4 + 2 = 6
(4, -2) → 4 - 2 = 2 ✔
(-4,-6) → -4 - 6 = -10
The correct answer is the second list (-4, 6), (0, 2), (4, -2)
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
